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Консультация № 200104
16.01.2021, 20:35
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Здравствуйте! У меня возникли сложности с таким вопросом:
Частица движется так что ее скорость зависит от времени по закону v (t) = i (A* t/ τ – B* t2/ τ2 )+ j * B * (t/ τ)2, где А, В - постоянные величины, i , J единичные орты в декартовой системе координат. Через сколько секунд ускорение частицы будет перпендикулярно оси х, если τ = 1 c. А = 3 м/с, В = 5 м/с.
Ответы: а) 1,4 с, б) 1,2 с, в) 1,0 с, г) 0,8 с, д) 0,6 с.
Решаю по аналогии выложенного ранее здесь решения, но не выхожу на ответы. Возможно, в ответах ошибка.
Частица движется так что ее скорость зависит от времени по закону v (t) = i (A* t/ τ – B* t2/ τ2 )+ j * B * (t/ τ)2, где А, В - постоянные величины, i , J единичные орты в декартовой системе координат. Через сколько секунд ускорение частицы будет перпендикулярно оси х, если τ = 1 c. А = 3 м/с, В = 5 м/с.
Ответы: а) 1,4 с, б) 1,2 с, в) 1,0 с, г) 0,8 с, д) 0,6 с.
Решаю по аналогии выложенного ранее здесь решения, но не выхожу на ответы. Возможно, в ответах ошибка.
Обсуждение
21.01.2021, 17:18
общий
это ответ
Здравствуйте, ascue2006!
С учётом исходных данных скорость частицы в произвольный момент времени t определяется выражением
Тогда ускорение частицы в момент t будет равно
Если ускорение частицы перпендикулярно оси Oх, то a[sub]x[/sub] = 0, то есть 3 - 10t = 0, откуда t = 3/10 = 0.3 с.
С учётом исходных данных скорость частицы в произвольный момент времени t определяется выражением
Тогда ускорение частицы в момент t будет равно
Если ускорение частицы перпендикулярно оси Oх, то a[sub]x[/sub] = 0, то есть 3 - 10t = 0, откуда t = 3/10 = 0.3 с.
Форма ответа
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